Find the LCM of 501, 614, 938, 446, 783 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 501, 614, 938, 446, 783. So, keep reading to learn more.
Given numbers are 501,614,938,446,783
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 501,614,938,446,783 is 8397003034098.
Find LCM of 501,614,938,446,783 with Prime Factorization
2 | 501, 614, 938, 446, 783 |
3 | 501, 307, 469, 223, 783 |
167, 307, 469, 223, 261 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 167 x 307 x 469 x 223 x 261 = 8397003034098
Therefore, the lowest common multiple of 501,614,938,446,783 is 8397003034098.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
501 x 614 x 938 x 446 x 783 = 100764036409176
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
501 : 1, 3, 167, 501
614 : 1, 2, 307, 614
938 : 1, 2, 7, 14, 67, 134, 469, 938
446 : 1, 2, 223, 446
783 : 1, 3, 9, 27, 29, 87, 261, 783
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 501,614,938,446,783, is 1.
Now, the common factors can be found like this.
501:3x 167
614:2x 307
938:2x 7x 67
446:2x 223
783:3x 3x 3x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 3 = 12
Therefore, the value for common factors is 12.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 100764036409176/(1x12)
LCM = 100764036409176/12
LCM = 8397003034098
Thus, we can understand that the LCM of 501,614,938,446,783 is 8397003034098.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 501, 614, 938, 446, 783?
Answer: LCM of 501, 614, 938, 446, 783 is 8397003034098.
2. How to calculate the LCM of 501, 614, 938, 446, 783?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 501, 614, 938, 446, 783.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.